Q: What are the factor combinations of the number 1,550,045?

 A:
Positive:   1 x 15500455 x 3100097 x 22143535 x 4428767 x 23135335 x 4627469 x 3305661 x 2345
Negative: -1 x -1550045-5 x -310009-7 x -221435-35 x -44287-67 x -23135-335 x -4627-469 x -3305-661 x -2345


How do I find the factor combinations of the number 1,550,045?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 1,550,045, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 1,550,045
-1 -1,550,045

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,550,045.

Example:
1 x 1,550,045 = 1,550,045
and
-1 x -1,550,045 = 1,550,045
Notice both answers equal 1,550,045

With that explanation out of the way, let's continue. Next, we take the number 1,550,045 and divide it by 2:

1,550,045 ÷ 2 = 775,022.5

If the quotient is a whole number, then 2 and 775,022.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,550,045
-1 -1,550,045

Now, we try dividing 1,550,045 by 3:

1,550,045 ÷ 3 = 516,681.6667

If the quotient is a whole number, then 3 and 516,681.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,550,045
-1 -1,550,045

Let's try dividing by 4:

1,550,045 ÷ 4 = 387,511.25

If the quotient is a whole number, then 4 and 387,511.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,550,045
-1 1,550,045
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15735673354696612,3453,3054,62723,13544,287221,435310,0091,550,045
-1-5-7-35-67-335-469-661-2,345-3,305-4,627-23,135-44,287-221,435-310,009-1,550,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,550,045:


Ask a Question